Geodesic mappings of weakly Berwald spaces and Berwald spaces onto Riemannian spaces

Abstract

The present paper is devoted to the investigation of the geodesic mappings of weakly Berwald spaces and Berwald spaces which are special Finsler spaces Fn, onto the Riemannian spaces ¯Vn. We can see that not every Finsler space admits non-trivial geodesic mapping onto a Riemannian space.